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Finding the Fourth Proportional to 564,549.89, 845,717.65 and 327,394.33

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Solution

The fourth proportional to 564,549.89, 845,717.65 and 327,394.33 is: 490,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,549.89 : 845,717.65 = 327,394.33 : x
  2. Step 2: Convert to fraction form
    564,549.89/845,717.65 = 327,394.33/x
  3. Step 3: Cross multiply
    564,549.89x = 845,717.65 × 327,394.33
  4. Step 4: Simplify right side
    564,549.89x = 276,883,160,458.15
  5. Step 5: Solve for x
    x = 276,883,160,458.15/564,549.89
  6. Step 6: Final answer
    x = 490,449.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.